Strange moan drowns fragment I dream (8)
I believe the answer is:
ambition
'dream' is the definition.
('ambition' can be a synonym of 'dream')
'strange moan drowns fragment i' is the wordplay.
'strange' is an anagram indicator.
'drowns' means one lot of letters goes inside another (I've seen this in other clues).
'fragment' becomes 'bit' (bit is a kind of fragment).
'moan' anagrammed gives 'amon'.
'bit'+'i'='biti'
'amon' going around 'biti' is 'AMBITION'.
(Other definitions for ambition that I've seen before include "Desire to achieve success" , "Desire to succeed in life" , "Desire to succeed in the world" , "Cherished aspiration" , "Strong desire for success" .)