The Slave Cylinder for the clutch system resides on the bellhousing. It takes about 20 minutes to rebuild it and then reinstall it. I had to do this on my 61 a couple tears ago. I just pulled it off, ordered a rebuild kit, and put it back in.
The kit consisted of a seal and a new piston. It was like 3 pieces, very simple. Kit was $15 and a new cylinder was $70ish...
That is where I would look. Make sure to bleed the system when you are done...air in the lines = not working!
Also when you bleed the system...put on some eye protection...the system builds a good amount of pressure and the fluid really makes your eyes sting!!
Good Luck,
Kyle