Quick to read the end of a story (5)
I believe the answer is:
ready
'quick' is the definition.
(I know that quick can be written as ready)
'read the end of a story' is the wordplay.
'the end of' suggests the final letters.
The final letter of 'story' is 'y'.
'read'+'y'='READY'
'to' is the link.
(Other definitions for ready that I've seen before include "Available now" , "Willing (to do something); cash" , "game?" , "bread" , "Intelligent" .)