little, small, tiny

puff of
a little puff of smoke

long
short

have, take
He took a long puff at his cigar and began his story.

puff on
a puff on her cigarette

furiously
contentedly, happily
thoughtfully
away
He puffed away at his cigar.

at
She puffed furiously at her cigarette.

on
My father sat puffing contentedly on his pipe.

hard
She was puffing quite hard by the time she reached the office.

loudly

along, from
She was still puffing from the climb.

up
He came puffing up the hill.

huff and puff, puff and pant
She puffed and panted behind the others.

puffing and blowing
Far behind us, puffing and blowing, came Matt.

Puff is used with these nouns as the subject:
chest

Puff is used with these nouns as the object:
chest, cigar