http://www.ncrs.org/forum/archive11.cgi?review=65106

This group has either gone to sleep, gone away for the holidays, or become
much more mellow.  I'd have figured this would have invited a dozen more
comments about women, men helping, and so on.

If you plan to work on your Corvette, the service manual and the Assembly
Instruction Manual (AIM) are two books you do not want to do without.  Both
give lots of information about how Corvettes go together and come apart.  I
can't remember how the clock in a '60 goes in, but I believe it comes out
the front of the console. There are probably a couple of clips in the back.
You will have to remove the console side panels to see in there. You
probably have an advantage over most men, in that you probably have a
smaller body frame, so getting maneuvered around to see in there should be
easier.  You probably also have smaller hands, so you should be able to get
into that area to remove clips and small nuts should be easier.

Check Wayne's link.  The NCRS technical discussion board has a lot of good
information on these cars.