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 701 (Add to/Edit Set Members)
                    somethin'
                      some thin'
                        End Rhyme Set #2 of 701 (Add to/Edit Set Members)
                        blushin'
                          brushin'
                            crushin'
                              flushin'
                                gushin'
                                  rushin'
                                    rush in
                                      End Rhyme Set #3 of 701 (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 70 (Add to/Edit Set Members)
                                                    somethin'
                                                      some thin'
                                                        Near Rhyme Set #2 of 70 (Add to/Edit Set Members)
                                                        blushin'
                                                          brushin'
                                                            crushin'
                                                              flushin'
                                                                gushin'
                                                                  rushin'
                                                                    rush in
                                                                      Near Rhyme Set #3 of 70 (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."
                                                                      • ca + in
                                                                      • dah + in
                                                                      • huh + in
                                                                      • Sta + in
                                                                      • the + been
                                                                      • the + bin
                                                                      • the + Blinn
                                                                      • the + brin
                                                                      • the + Bryn
                                                                      • the + chin
                                                                      • the + din
                                                                      • the + fin
                                                                      • the + finn
                                                                      • the + Flinn
                                                                      • the + Flynn
                                                                      • the + gin
                                                                      • the + Ginn
                                                                      • the + Glyn
                                                                      • the + Glynn
                                                                      • the + grin
                                                                      • the + Gwin
                                                                      • the + Gwinn
                                                                      • the + Gwynne
                                                                      • the + gyn
                                                                      • the + in
                                                                      • the + inn
                                                                      • the + jin
                                                                      • the + kin
                                                                      • the + Knin
                                                                      • the + Lin
                                                                      • the + Linn
                                                                      • the + Linne
                                                                      • the + Lyn
                                                                      • the + Lynn
                                                                      • the + Lynne
                                                                      • the + min
                                                                      • the + pin
                                                                      • the + quin
                                                                      • the + Quinn
                                                                      • the + Schwinn
                                                                      • the + shin
                                                                      • the + sin
                                                                      • the + skin
                                                                      • the + spin
                                                                      • the + syn
                                                                      • the + thin
                                                                      • the + tin
                                                                      • the + twin
                                                                      • the + vin
                                                                      • the + when
                                                                      • the + win
                                                                      • the + Winn
                                                                      • the + Wynn
                                                                      • the + Wynne
                                                                      • the + yin
                                                                      • the + Zinn
                                                                      • uh + in
                                                                      Mosaic Rhyme Set #1 of 1 (Add to/Edit Set Members)