Aspire, possibly, to laudation (6)
I believe the answer is:
praise
'laudation' is the definition.
(thesaurus)
'aspire possibly' is the wordplay.
'possibly' is an anagram indicator.
'aspire' anagrammed gives 'PRAISE'.
'to' is the link.
(Other definitions for praise that I've seen before include "Cry 'hallelujah'" , "Commend or laud" , "Honour" , "Worship, glorify" , "plaudit" .)