Collocations for cheap - adj.

be, be going
a brand new radio going cheap

buy sth, get sth, sell sth
They're selling fabrics cheap this week.

not come
Shoes like that don't come cheap.

extremely, fairly, very, etc.
amazingly, incredibly, remarkably, ridiculously
It's a good restaurant, and incredibly cheap.

comparatively, reasonably, relatively
not exactly (esp. BrE)
At £60 000 the car is not exactly cheap (= it is very expensive).

buy sth on the cheap, get sth on the cheap
The school managed to get a couple of computers on the cheap.

be, look
The glasses are plain without looking cheap.

cheap and nasty (BrE)
The bag looks cheap and nasty.

Cheap is used with these nouns:
alternative, beer, booze, champagne, cigar, clothes, commodity, copy, cosmetic, cut, electricity, end, energy, fare, finance, flight, food, furniture, gag, goods, heroin, hotel, housing, imitation, import, jewellery, labour, laugh, mortgage, motel, offer, option, perfume, price, rate, rent, restaurant, shot, source, substitute, talk, textile, thrill, transport, transportation, travel, trick, version, whisky, wine