Jenkin rhymes with:
henkin, conkin, dunkin, dunkin', hankin, henkin, junkin, mankin, minkin, patinkin, punkin, rankin, thinkin, thinkin', tonkin, younkin
Jenkin sounds like:
jainism, jamaican, jameson, jamieson, jamison, jansen, jansma, janson, janssen, jansson, janzen, jeansonne, jemison, jenison, jennison, jensen, jenson, jenssen, jimison, jingoism, johannesen, johannessen, johannsen, johansen, johanson, johansson, johnsen, johnson, jonassen, jonsman, jonson, jonsson, jungin, jungman, junkin, junwuxiyan