Pay no attention to gentle rocking around front of car (7)
I believe the answer is:
neglect
'pay no attention to' is the definition.
(thesaurus)
'gentle rocking around front of car' is the wordplay.
'rocking' indicates an anagram.
'around' indicates putting letters inside.
'front of' suggests taking the first letters.
The initial letter of 'car' is 'c'.
'gentle' with letters rearranged gives 'neglet'.
'neglet' going around 'c' is 'NEGLECT'.
(Other definitions for neglect that I've seen before include "Insufficiently attend to" , "Failure to give proper care" , "Heedlessness" , "Failure to observe" , "Disuse" .)