6 months ago I know someone got UK visit visa on old hand made passport. Since pak embassy are now issuing MRP, so better check with Uk embassy visa section if you can still use the old passport.

Also before asking a question, I would recommend doing a quick research yourself.

I googled it for you and here is what I've found:

The visa's are handled by VFS. Their website: http://www.vfs-uk.com.qa

and their no. 44622159 & 44621544
timings: 0800Hrs to 1230Hrs and 1300 to 1630Hrs. Sunday to Thursday

Call and ask them :D
Good luck !