Run away with booklets, oddly (4)
I believe the answer is:
bolt
'run away' is the definition.
(I've seen this before)
'booklets oddly' is the wordplay.
'oddly' indicates alternate letters (letters in odd-numbered positions).
The alternating letters of 'booklets' are 'BOLT'.
'with' is the link.
(Other definitions for bolt that I've seen before include "for security reasons" , "Fasten - run off - Jamaican sprinter" , "Run away suddenly; long fixing pin" , "Find a bar" , "Lightning flash, fasten" .)