Even though I have the odd bleat about it (6)
I believe the answer is:
albeit
'even though' is the definition.
(I've seen this before)
'i have the odd bleat about it' is the wordplay.
'i have' becomes 'eb' (I can't justify this - if you can you should believe this answer much more).
'the odd' means one should take alternating letters.
'about' is a reversal indicator.
The alternate letters of 'bleat' are 'la'.
'eb'+'la'='ebla'
'ebla' in reverse letter order is 'albe'.
'albe'+'it'='ALBEIT'
Can you help me to learn more?
(Other definitions for albeit that I've seen before include "Although, despite" , "'Even if, although (6)'" , "Conjunction meaning although" , "Although, nevertheless" , "In spite of the fact that" .)