Took a quick look, annoyed you might say (6)
I believe the answer is:
peeked
'took a quick look' is the definition.
(to peek at something is to look at it quickly)
'annoyed you might say' is the wordplay.
'annoyed' becomes 'piqued' (I've seen this in another clue).
'you might say' indicates a 'sounds like' (homophone) clue.
'piqued' sounds like 'PEEKED'.
(Other definitions for peeked that I've seen before include "Glanced surreptitiously" , "Looked furtively" , "Looked surreptitiously" , "Took a secret look" .)