Swiss imported pocket watch?

I have inherited a collection including silver. Trying to work out what I have.

I think this is a Swiss imported watch into the UK? c.1880?

Marks include “FINE SILVER” and a serial number on the case. Also on the case may be a manufacturer/UK importer. Looks something like T.S followed by two underlined characters, the first seems to be an L but the second isn’t clear at all.

Would love your insights please.

Take high-resolution photos, preferably in macro mode, of the marked areas.