European following daughter inside Dog & Duck (5)
I believe the answer is:
dodge
'duck' is the definition.
(synonyms)
'european following daughter inside dog' is the wordplay.
'european' becomes 'e' (abbreviation e.g. EU).
'following' says to put letters next to each other.
'daughter' becomes 'd' (genealogical abbreviation).
'inside' is an insertion indicator.
'd' inserted into 'dog' is 'dodg'.
'e' after 'dodg' is 'DODGE'.
(Other definitions for dodge that I've seen before include "Wild West city" , "Cunning move" , "Avoid or attempt to" , "Avoid by sudden movement" , "Avoid; cunning trick" .)