The Limited barrel is barely less than 5", and the TS barrel isn't much longer than 5". (125mm/~4.92" versus 130mm/~5.12". The difference is about 3/16".)
The weights would be pretty close with the same configuration; Tanfoglio doesn't appear to make a standard full-length-dustcover Limited any more; you can either get a short-dustcover Limited or a Limited Custom, which has a full-length-dustcover but also sports a lightened slide with a different barrel. The result is that either Tanfo is spec'ed at 1200g (2.64lb) while the TS is listed at 1270g (2.80lb). (FWIW, my personal TS weighs in at 3.125lb with an empty magazine.)
If you're after a lighter solution and can accept a shorter barrel, the choice would probably be a Tanfoglio Stock II; it starts out a little lighter than a Tanfo Limited, and it would slim down more if you cut back the dustcover and/or lighten the slide a little. Convert it to SAO and slap a Henning magwell on it and you'd be GTG.
Now, I don't actually own one but the CZ-Custom website lists the CZ TS as having a 5.4 inch barrel and weigh 2.8lbs and the EAA sight lists the Witness Elite Limited with a 4.75 inch barrel and weighing 39 ounces (roughly 2.7lbs). Not sure how that works since there seems to only be a single ounce difference in weight but .65 inches of extra barrel and dustcover. Though, the EAA Limited does come with a mag well and such. Either way, it all really comes down to feel and comfort for each individual shooter. I'm sure both are great guns and would be good choices. Though I'd have a CTS conversion done to a TS to save weight and such...plus they look REALLY good that way.