WikiRhymer has about 6,000 rhyming words and phrases for "touchin'" starting with...

clutchin'
    retouchin'
      Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
      Words that have a pure rhyme on their last syllable only.
      bunchin'
        crunchin'
          lunchin'
            munchin'
              punchin'
                truncheon
                  lunch in
                    End Rhyme Set #1 of 691 (Add to/Edit Set Members)
                    somethin'
                      some thin'
                        End Rhyme Set #2 of 691 (Add to/Edit Set Members)
                        blushin'
                          brushin'
                            crushin'
                              flushin'
                                gushin'
                                  rushin'
                                    End Rhyme Set #3 of 691 (Add to/Edit Set Members)

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                                    Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely. (Click for more info)
                                    bunchin'
                                      crunchin'
                                        lunchin'
                                          munchin'
                                            punchin'
                                              truncheon
                                                lunch in
                                                  Near Rhyme Set #1 of 68 (Add to/Edit Set Members)
                                                  somethin'
                                                    some thin'
                                                      Near Rhyme Set #2 of 68 (Add to/Edit Set Members)
                                                      blushin'
                                                        brushin'
                                                          crushin'
                                                            flushin'
                                                              gushin'
                                                                rushin'
                                                                  Near Rhyme Set #3 of 68 (Add to/Edit Set Members)

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                                                                  Rhymes made up of more than one word. For instance, "jealous" and "tell us" or "shaky" and "make me."

                                                                  We have no mosaic rhymes for "touchin'".

                                                                  Mosaic Rhyme Set #1 of 1 (Add to/Edit Set Members)