A bird has swallowed her cigar (7)
I believe the answer is:
cheroot
'cigar' is the definition.
(cheroot is a kind of cigar)
'a bird has swallowed her' is the wordplay.
'a bird' becomes 'coot' (coot is a kind of bird).
'has swallowed' indicates putting letters inside.
'coot' placed around 'her' is 'CHEROOT'.
(Other definitions for cheroot that I've seen before include "'Cigar, square at both ends (7)'" , "Cigar with ends squarely removed" , "Variety of cigar" , "Type of cigar" , "Cigar with open ends - hot core (anag)" .)