From The TimeSplitters Wiki

Vintage Rifle
Ammo	5 bullets, maximum 40 bullets
Fire Rate bullets per sec/cartridge time	Fires one bullet per second
Reload Time	N/A
Damage (per Single Shot) Head/Body/Leg	30 Damage
Type	Sniper
Zoom	Yes
Primary Fire	Fires bullets
Secondary Fire	Fires Bullets
Games	TS2

It may look crude, but in wwII it was accurate and had a larger magazine than most rifles of the time and had a bolt so fast the germans though they were under machinegun fire. (the model is a mk.4 enfield.)

the one from timesplitters 2 resembles a winchester lever-action rifle.