Dominant woman, busy person chasing cat (5,3)
I believe the answer is:
Here is my best explanation:
'dominant woman' is the definition.
(I've seen this before)
'busy person chasing cat' is the subsidiary indication.
'busy person' becomes 'bee' (I've seen this in other clues).
'chasing' says to put letters next to each other.
'cat' becomes 'queen' (a queen is a female cat).
'bee' put after 'queen' is 'queenbee'.
(Other definitions for queen bee that I've seen before include "Important woman", "The fertile, non-working female of the hive", "Fertile female insect", "dominating woman", "Ruler of eleven across", "Woman of importance", "Dominant female - chief buzzer", "Dominant female in group", "Egg-laying apian sort" and "Dominant woman - chief buzzer?".)