Looks delighted at the strong support (5)
I believe the answer is:
beams
'looks' is the definition.
(beaming is a kind of looking)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for beams that I've seen before include "Rays of light" , "Shines" , "Smiles; joists" , "Smiles broadly or sunnily" .)