枥 lives in one famous line by 曹操: 老骥伏枥,志在千里 ('the aged steed in its stall still longs to gallop a thousand miles'): an old person with great ambitions still.
木 is the wood radical, here in left-side form. A feeding trough is built of wood, and the character's other sense is a kind of oak, so the wood link works both ways.