Every Project has a different set of terms agreed with the client before starting the project. Client may be entitled to the Revisions in the design as agreed in the start of the project.
Client will not be entitled for a Partial refund if:
1- Client likes the Logo design concept presented.
2- Asks for a Revision in presented design.
3- Name of the Business Changes after the Design draft is done.
4- Non- Communication for 3 days after the design is presented.
5- Client asks for new concepts and revisions.

If you can refund the time I spent on your Project , I surely will refund the design fee.