Rush to get a fastener (3)
I believe the answer is:
zip
I believe this clue is a double definition.
'rush' is the first definition.
(thesaurus)
'a fastener' is the second definition.
(zip is a kind of fastener)
'to get' is the link.
(Other definitions for zip that I've seen before include "Fastening device" , "Type of fastener" , "Sound of bullet passing" , "Energy or clothes fastener" , "It fastens" .)