Clue: Scholar scribbled bit of Homer out in cloistered studies (6)
Answer: CAROLS
Explanation: Definition: cloistered studies
***(scolar)** [anag:*scribbled*] where SCOLAR is SC(h)OLAR with [*bit of*] H(omer) *away* 
 
 
*A carol is part of a cloister which is used as a study (also known as a carrel, which is what an individual study space at my University's library was called).