Memorial has significance probed by character abroad (8)
I believe the answer is:
monument
'memorial' is the definition.
(I know that memorial can be written as monument)
'significance probed by character abroad' is the wordplay.
'significance' becomes 'moment' (moment can mean significance or importance).
'probed by' means one lot of letters goes inside another (I've seen this in other clues).
'character abroad' becomes 'nu' (letter of the Greek alphabet).
'moment' enclosing 'nu' is 'MONUMENT'.
'has' is the link.
(Other definitions for monument that I've seen before include "Commemorative statue, building etc." , "Could be column" , "Commemorative column etc" , "Memorial structure" , "Commemorative structure" .)