Piece of history made by student, one in park (5)
I believe the answer is:
relic
'piece of history' is the definition.
(a historical artefact)
'student one in park' is the wordplay.
'student' becomes 'L' (learner, as in L-plates for learner drivers).
'one' becomes 'i' (Roman numeral).
'in' is an insertion indicator.
'park' becomes 'rec' (short for recreation ground).
'l'+'i'='li'
'li' put into 'rec' is 'RELIC'.
'made by' acts as a link.
(Other definitions for relic that I've seen before include "Bit of a saint, perhaps" , "Venerated memento" , "Ancient survival" , "Memorial of saint" , "Long-surviving object" .)