His Worship, while delayed, finally went quickly (4)
I believe the answer is:
sped
'went quickly' is the definition.
(I've seen this before)
'his worship while delayed finally' is the wordplay.
'finally' suggests the final letters.
The last letters of 'his worship while delayed' are 'SPED'.
(Other definitions for sped that I've seen before include "Rushed" , "Hastened" , "Went fast" , "was 8 [FLEET]" , "Moved fast" .)