WikiRhymer has about 5,000 rhyming words and phrases for "thumping" starting with...

bumping
    clumping
      dumping
        jumping
          lumping
            pumping
              slumping
                stumping
                  antidumping
                    • queue jumping
                    Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
                    Words that have a pure rhyme on their last syllable only.
                    developing
                      enveloping
                        redeveloping
                          End Rhyme Set #1 of 594 (Add to/Edit Set Members)
                          corrupting
                            disrupting
                              erupting
                                interrupting
                                  End Rhyme Set #2 of 594 (Add to/Edit Set Members)
                                  scuttling
                                    shuttling
                                      End Rhyme Set #3 of 594 (Add to/Edit Set Members)

                                      Get Pro Features!

                                      To see all the end rhymes sets, you must "Go Pro." It's only $7.00 a year!

                                      I want to "Go Pro"

                                      Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely. (Click for more info)
                                      corrupting
                                        disrupting
                                          erupting
                                            interrupting
                                              Near Rhyme Set #1 of 62 (Add to/Edit Set Members)
                                              scuttling
                                                shuttling
                                                  Near Rhyme Set #2 of 62 (Add to/Edit Set Members)
                                                  budging
                                                    fudging
                                                      grudging
                                                        judging
                                                          nudging
                                                            trudging
                                                              Near Rhyme Set #3 of 62 (Add to/Edit Set Members)

                                                              Get Pro Features!

                                                              To see all the near rhymes sets, you must "Go Pro." It's only $7.00 a year!

                                                              I want to "Go Pro"

                                                              Rhymes made up of more than one word. For instance, "jealous" and "tell us" or "shaky" and "make me."
                                                              • become + ing
                                                              • become + king
                                                              • become + thing
                                                              • come + bring
                                                              • come + ing
                                                              • come + king
                                                              • come + ring
                                                              • come + sing
                                                              • dumb + sing
                                                              • dumb + thing
                                                              • from + Bing
                                                              • from + bring
                                                              • from + Ching
                                                              • from + ding
                                                              • from + ing
                                                              • from + Jing
                                                              • from + king
                                                              • from + Ling
                                                              • from + Ming
                                                              • from + ng
                                                              • from + ping
                                                              • from + ring
                                                              • from + sing
                                                              • from + Singh
                                                              • from + sling
                                                              • from + sting
                                                              • from + string
                                                              • from + swing
                                                              • from + thing
                                                              • from + ting
                                                              • from + wing
                                                              • from + Xing
                                                              • from + ying
                                                              • numb + thing
                                                              • rum + thing
                                                              • some + bling
                                                              • some + bring
                                                              • some + cling
                                                              • some + ding
                                                              • some + fling
                                                              • some + hing
                                                              • some + ing
                                                              • some + king
                                                              • some + Ming
                                                              • some + ng
                                                              • some + ring
                                                              • some + sing
                                                              • some + sling
                                                              • some + sting
                                                              • some + string
                                                              • some + swing
                                                              • some + thing
                                                              • some + ting
                                                              • some + wing
                                                              • some + zing
                                                              • sum + ping
                                                              • sum + thing
                                                              • swum + swing
                                                              • thumb + ring
                                                              • thumb + string
                                                              Mosaic Rhyme Set #1 of 1 (Add to/Edit Set Members)