WordNet sense 1 (the verbal act of offering):

offering

WordNet sense 2 (present as an act of worship):

offer up

WordNet sense 3 (agree freely):

volunteer

WordNet sense 4 (mount or put up):

provide, put up

WordNet sense 5 (propose a payment):

bid, tender

WordNet sense 6 (make available; provide):

extend

WordNet sense 7 (present for acceptance or rejection):

proffer

WordNet sense 8 (ask (someone) to marry you):

propose, declare oneself, pop the question

WordNet sense 9 (a usually brief attempt):

crack, fling, go, pass, whirl