Draw out, taking a while (7)
I believe the answer is:
stretch
This clue is a double definition.
'draw out' is the first definition.
(I've seen this before)
'a while' is the second definition.
(thesaurus)
'taking' is the link.
(Other definitions for stretch that I've seen before include "Make longer/wider" , "Make (something) longer" , "Make demands on; lengthen" , "time at Pentonville?" , "Extend, time spent in prison" .)