Help Identify this Number 4 Mk. 2

[Alan de Enfield]

It certainly has had an interesting history and appears to have parts from all the major manufacturers

The barrel was fitted in 1953 by BSA
The action looks to be a Fazakerley
It has Savage (USA) parts
And some other metal parts made by Metal Box Ltd (London)

There have been 100's of posts about these RTI rifles and the vast majority are 'not very complimentary' varying from unsafe, to major parts missing to way, way overpriced for what they are.
Yours doesn't look 'too bad'