Projecting well out of the box? (9)
I believe the answer is:
telegenic
'projecting well out' is the definition.
The definition suggests an adjective which matches the answer.
'box?' is the wordplay.
I cannot really understand how this works, but
'box?' could be 'tele' (I've seen this in other clues) and 'tele' is found within the answer.
The remaining letters 'genic' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).
'of the' acts as a link.
Can you help me to learn more?
(Other definitions for telegenic that I've seen before include "nice on screen too" , "attractive on screen" , "Coming over on the tube" , "Nice to watch" , "having broadcast appeal" .)