I developed an ABAP class in SE24 and it is locked in transport request TR1 which was already transported to client.
Now I am making some modifications in this class in another request TR2, this TR will be transported to client only in September.
But meanwhile my client requested to create two new methods in the same class. So I want to transport only those two methods instead of the complete class through TR3.
I can't transport the complete class as the changes I made in TR2 are not complete yet.
Is there any way?
Not if your description of what has happened is accurate. Please see this answer for some background information. Now, if you only changed some method implementation, you could perhaps use LIMU METH transport entries to only transport these implementations (although I wouldn't recommend it to avoid side effects). If you added some methods - as you said you did -- you will likely have to transport the entire R3TR CLAS object, and that will automatically pull all of the changes. Always remember - the CTS only records that a change was made to an object, not what the change was.