Beast always under ginger duke (3,4)
I believe the answer is:
red deer
'beast' is the definition.
(type of animal)
'always under ginger duke' is the wordplay.
'always' becomes 'eer' (poetic way of saying ever).
'under' is a charade indicator (letters next to each other) (below, in a down clue).
'ginger' becomes 'red ginger' (red hair).
'duke' becomes 'd' (abbreviation).
'red'+'d'='redd'
'eer' after 'redd' is 'RED DEER'.
(Other definitions for red deer that I've seen before include "Common European and Asian hoofed grazing animals" , "wild creature" , "Large grazing animal of temperate Europe and Asia" , "source of venison" , "Antlered animal" .)