Alluring old PM, the centre of attraction (8,5)
I believe the answer is:
magnetic north
'centre of attraction' is the definition.
(centre of magnetic attraction)
'alluring old pm' is the wordplay.
'alluring' becomes 'magnetic' (I've seen this in another clue).
'old pm' becomes 'north' (Lord North, 18th-century prime minister).
'magnetic'+'north'='MAGNETIC NORTH'
'the' is the link.
(Other definitions for magnetic north that I've seen before include "Direction a compass needle points" , "that is regularly pointed at" , "with an attractive property?" , "Where compasses point" , "attractive point - with 13a" .)