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Synonyms for Wad (same or very similar meaning)

WordNet sense 1 ((often followed by `of') a large number or amount or extent):
batch, deal, flock, heap, lot, mass, mess, mint, peck, pile, plenty, pot, raft, sight, slew, spate, stack, hatful, mickle, muckle, good deal, great deal, quite a little, tidy sum, whole lot, whole slew

WordNet sense 2 (a wad of something chewable as tobacco):
chew, cud, plug, quid, chaw

WordNet sense 3 (crowd or pack to capacity):
cram, jam, ram, jampack, chock up

WordNet sense 4 (compress into a wad):
bundle, compact, pack, compact

From the ODE community, based on WordNetadd/edit