Beast always under ginger duke (3,4)
I believe the answer is:
'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).
'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" .)