To eloborate, and maybe educate.
A finale ring circuit consists of a cable that originates from a CU (consumer unit / fuse board) fuse position (the cable is normally 2.5mm twin and earth TE), goes out and round various sockets and then returns to the same fuse position.
So power travels down both cable paths and as such one complete break would split the circuit in to two parts. Since the power travels along both cables, one brake would not appear obvious to a user.
Rats tend not to be small enough to get in to a socket back box, so if rats have meddled with a cable the only way this would be evident is if the rat in question has shorted any of the cores of the cable with each other causing circuit failure. A complete break is unusual, since the rat will go 'fizz, pop' when it gets 230v
If you have a socket that doesn't work then that could be something entirely different.
As for faulting a ring circuit, that's easy if you have access to a decent continuity tester and have the skills to remove the fuse board cover, isolate the board and circuit and carry testing.
End to end testing of each wire will determine if there's continuity r1, rn and r2 (live, neutral and cpc / earth),
If, on the above test a fail is noted, then continuity across the cores is tested at the sockets having opened the ring and joined cores together to provide a loop.
It might help if you explain (as others have asked) why you feel it's a rat issue, and what symptoms have you noted ?
Consider things like any DIY drilling done recently, water in sockets, damp, humidity, ageing fittings, aged wiring...