Collocations for cigar - noun

fat | expensive | cheap

box

smoke | draw on, pull on
He paused and drew on his cigar.

light | extinguish, put out, stub out

burn
Her thin cigar burned quite quickly.

glow
His cigar glowed in the darkened room.

ash, smoke | butt, end | case, holder | smoker

brandy/port and cigars
They left the men to their port and cigars.