Tsh 2.534 (ref 0.340-5.600), t3 (liothyronine) uptake 45.7 (ref 32-48), total t4 13.37 (ref 6.9-12.2), free t4 6.1 (ref 1.1- 4.6). no symptoms, is this high t4 ok?

Ok.: Have the test repeated if you are in doubt. May be a lab errror since TSH is normal.

Any symptoms?: All laboratory results need to be interpreted in the clinical context and the doctor who ordered the tests is usually in the best position to do that. Having said that, your test results are all near normal and the most important test, TSH, is normal. You may ask your doctor to repeat the tests in 6-12 months.