Ignore foreign NATO dub entirely (4,1,5,3,2)
I believe the answer is:
turn a blind eye to
'ignore' is the definition.
(turning a blind eye to is a kind of ignoring)
'foreign nato dub entirely' is the wordplay.
'foreign' indicates an anagram (foreign order of the letters).
'nato'+'dub'+'entirely'='natodubentirely'
'natodubentirely' anagrammed gives 'TURN A BLIND EYE TO'.
(Other definitions for turn a blind eye to that I've seen before include "overlook" , "Ignore" .)