Press one's right to finish point (4)
I believe the answer is:
iron
'press' is the definition.
(ironing is a kind of pressing)
'one's right to finish point' is the wordplay.
'one' becomes 'i' (Roman numeral).
'right' becomes 'r' (common abbreviation).
'finish' means to remove the first letter.
'point' becomes 'n' (N is an example).
'to' with its first letter taken off is 'o'.
'i'+'r'+'o'+'n'='IRON'
(Other definitions for iron that I've seen before include "Revolver" , "The metallic element plays a role in the transport of oxygen by the blood" , "Hard metal" , "Box-shaped instrument of torture -- no meridian (anag)" , "Former dividing line across Europe" .)