Escape eagle circling around a kid's head (7)
I believe the answer is:
leakage
'escape' is the definition.
('leakage' can be a synonym of 'escape')
'eagle circling around a kid's head' is the wordplay.
'circling' indicates an anagram.
'around' means one lot of letters goes inside another.
'head' indicates taking the first letters.
The first letter of 'kids' is 'k'.
'eagle' anagrammed gives 'leage'.
'a'+'k'='ak'
'leage' enclosing 'ak' is 'LEAKAGE'.
(Other definitions for leakage that I've seen before include "Lake age (anag.)" , "Accidental (fluid) release" , "That which seeps out" , "Liquid/gas accidentally lost" , "Evidence of loss" .)