I assume that you know the controls in Timesplitters
and can easily maneuver around the maps fairly easy. The only map that has any known glitches, ones that I have found, are on Siberia. (Note: To do all glitches requires you to have remote mines handy preferred in the last slot.)
The first glitch is one that allows you to enter right into a tower near the Siberian Dam. What you must first do is first run over to the Jeep. After you get in and start driving around get yourself to the left tower, the closest one. Drive the Jeep right up to the left side, looking from the front, so you have no room. Now when you get out of the Jeep you should be half in and out of the wall shuffle to the left until your all the way in. (Note: If you appear away from the tower along with the Jeep you are either too far away with the Jeep from the wall, on wrong side, or at wrong tower.) The only bad thing is you can't shoot out of the tower, but fear not.
With the second one get back into the jeep and drive the opposite direction of the Dam. Again drive the Jeep as close as possible to the wall and side of the second bunker, the farthest on the right looking away from the Dam. Same as the tower if you aren't half in and out you have done something wrong. Once inside you cannot step on the invisible land. There are some pockets where you can walk, but beware you will die if you fall. This place you can shoot out of and is nice but you only get a limited view of the map.
The last of the useful glitches requires you to go back to the tower you can glitch to get inside of. This time go to the top of the tower, right outside the doorway. (Jeep not needed but a short character is nice to have if you don't want to get shot at) Looking into the tower look to your right. This may not work the second you do it, but walk into the wide door frame.

If done correctly you will know, you will be with in the wall. If you crouch and walk to one of the posts creating the window, through the wall. This one you can also shoot through. It is very nice since you can see most of the map from there.

Jeep glitches are fun, but virtually useless. Drive the Jeep onto the ramp going up the Dam. Grab those remote mines and just lay the back of it with them. Put between 12-16 mines there. If you walk to the top of the ramp, easiest way is through the base, and stand on the space right near the ramp, off the course of the ramp. If you time it right after you blow up the mines you can jump into the Jeep and go off the map with it. Don't worry you won't die, only the Jeep will. It is true you will happily appear back on the map while the Jeep will be no where to be found.