Kid, not first daughter, makes escape (5)
I believe the answer is:
elude
'escape' is the definition.
(I know that elude is a kind of escape)
'kid not first daughter' is the wordplay.
'kid' becomes 'delude' (I've seen this before).
'not' is a deletion indicator.
'first daughter' becomes 'd' (1st letter of 'daughter').
'delude' with 'd' removed is 'ELUDE'.
'makes' acts as a link.
(Other definitions for elude that I've seen before include "Escape from; baffle" , "Escape - avoid" , "Dodge, duck" , "Dodge or avoid" , "Get away from" .)