On any conventional Vee-belt you should be able to push the middle of it in with light finger-pressure. On some machines the tensioner has a spring designed to give the correct tension, but if not about half-inch depression on about a foot of belt seems about right. They should never be bar tight.
The clip is most likely a “special”, made for the machine, but from its appearance it does not seem something too hard to make from spring wire or strip if need be.