Term implying wisdom that's peculiarly man's? I hope so (4,7)
I believe the answer is:
homo sapiens
'term implying wisdom' is the definition.
('homo sapiens' means 'man who knows')
'peculiarly man's? i hope so' is the wordplay.
'peculiarly' indicates anagramming the letters.
'mans'+'i'+'hope'+'so'='mansihopeso'
'mansihopeso' is an anagram of 'HOMO SAPIENS'.
'that's' acts as a link.
(Other definitions for homo sapiens that I've seen before include "Relative of 1 across" , "Human species" , "The one existing species of Man" , "Modern humans" .)