Small county in which flowers are grown (4)
I believe the answer is:
beds
'small county' is the definition.
(abbreviation for Bedfordshire; 'small' asks for an abbreviation)
I don't understand how the rest of the clue works.
(Other definitions for beds that I've seen before include "Cots, bunks etc -- eastern English county (abbr)" , "Hospital places" , "Shortened county" , "Graduate teacher's" , "Small English county" .)