Cheekily having commandeered the spot next the fan? (6)
I believe the answer is:
coolly
'cheekily' is the definition.
Both the definition and answer are adverbs. Maybe you can see an association between them that I don't see?
'commandeered the spot next the fan?' is the wordplay.
I cannot quite see how this works, but
'fan?' could be 'cool' (fan can mean to keep cool) and 'cool' is found within the answer.
This explanation may well be incorrect...
'having' is the link.
Can you help me to learn more?
(Another definition for coolly that I've seen is " with reserve".)