Even though one has the odd bleat about it (6)
I believe the answer is:
albeit
'even though' is the definition.
(I've seen this before)
'one has the odd bleat about it' is the wordplay.
'one has' becomes 'i' (I can't justify this - if you can you should believe this answer much more).
'the odd' indicates anagramming the letters.
'about it' indicates putting letters inside.
'bleat' with letters rearranged gives 'albet'.
'i' inserted within 'albet' is 'ALBEIT'.
Can you help me to learn more?
(Other definitions for albeit that I've seen before include "Although, nevertheless" , "'Even if, although (6)'" , "Although, inasmuch as" , "Even though" , "Although, despite" .)