Woman married the third man to come along (5)
I believe the answer is:
mabel
'woman' is the definition.
(I've seen this before)
'married the third man to come along' is the wordplay.
'married' becomes 'm' (abbreviation, e.g. in genealogy).
'the third man to come along' becomes 'abel' (third man in the Bible).
'm'+'abel'='MABEL'
(Other definitions for mabel that I've seen before include "Female name; rhymes with mythic story" , "Woman" , "Girl's name" , "Female name deriving from one meaning lovable" , "maid in 'Separate Tables'" .)