WordNet sense 1 (an upward movement (especially a rhythmical rising and falling)):

heaving

WordNet sense 2 (rise and move, as in waves or billows):

billow, surge

WordNet sense 3 (lift or elevate):

heft, heave up, heft up

WordNet sense 4 (bend out of shape, as under pressure or from heat):

buckle, warp

WordNet sense 5 (an involuntary spasm of ineffectual vomiting):

retch

WordNet sense 6 (the act of raising something):

lift, raise

WordNet sense 7 (make an unsuccessful effort to vomit; strain to vomit):

gag

WordNet sense 8 (breathe noisily, as when one is exhausted):

gasp, pant, puff