Become exhausted in rush to visit daughter (3,2,4)
I believe the answer is:
run to seed
'become exhausted' is the definition.
(a flower that's run to seed has been exhausted)
'rush to visit daughter' is the wordplay.
'rush' becomes 'run'.
'visit' becomes 'see' (synonyms).
'daughter' becomes 'd' (genealogical abbreviation).
'run'+'to'+'see'+'d'='RUN TO SEED'
'in' acts as a link.
(Other definitions for run to seed that I've seen before include "go to waste" , "exhausted" , "Get shabby" , "Tennis fan after prized autograph may" , "Degenerate" .)