Army chaplain having no right on board in a suit (6)
I believe the answer is:
spades
'a suit' is the definition.
(I've seen this before)
'army chaplain having no right on board' is the wordplay.
'army chaplain' becomes 'padre' (I've seen this before).
'having no' indicates named letters should be taken away.
'right' becomes 'r' (common abbreviation).
'on' means one lot of letters goes inside another.
'board' becomes 'ss' (I've seen this in other clues).
'padre' with 'r' taken away is 'pade'.
'pade' going within 'ss' is 'SPADES'.
'in' acts as a link.
(Other definitions for spades that I've seen before include "Shovels or playing cards" , "Digging tools and card suit" , "Passed around with diggers" , "trumps sometimes" , "dark suit" .)