Half of titans think deeply about ordinary little flier (8)

'little flier' is the definition.
'titmouse' can be an answer for 'flier' (titmouse is a kind of birdanimal). I'm not sure about the 'little' bit.

'half of titans think deeply about ordinary' is the wordplay.
'half of' means to take half the letters.
'think deeply' becomes 'muse' (musing is a kind of thinking. I am not sure about the 'deeply' bit.**).
'about' means one lot of letters goes inside another.
'ordinary' becomes 'o' (abbreviation e.g. O-Levels).
'titans' cut in half is 'tit'.
'muse' placed around 'o' is 'mouse'.
'tit'+'mouse'='TITMOUSE'

Can you help me to learn more?