Women's record time greeted effusively (4)
I believe the answer is:
wept
'greeted effusively' is the definition.
'women's record time' is the wordplay.
'women' becomes 'w'.
'record' becomes 'ep'.
'time' becomes 't'.
'w'+'ep'+'t'='WEPT'
(Other definitions for wept that I've seen before include "Cried, sobbed" , ""Jesus ___" (St John's Gospel, xi. 35)" , "Exclude, prohibit" , "lamented" , "Sobbed heavily" .)