Bright, though with bad weather coming through next (6)
I believe the answer is:
brainy
'bright' is the definition.
(both can mean intelligent)
'with bad weather coming through next' is the wordplay.
I cannot quite see how this works, but
'weather' could be 'rain' (rain is a kind of weather) and 'rain' is located in the answer.
'with' could be 'by' (both can mean close together) and 'by' is present in the leftover letters.
This accounts for all the letters.
This may be the basis of the clue (or it may be nonsense).
'though' acts as a link.
Can you help me to learn more?
(Other definitions for brainy that I've seen before include "Clever, got lots of grey matter" , "Bright" , "Having a high IQ" , "Binary (anag.)" , "Intellectual" .)