Apparently means 'esteeming/honoring God' and it'd be more like tay-o-TEEM. It was used by early Christians, including an early saint; dropped out of favour and got resurrected in 1945 when a French author wrote a novel with the name in the title; and has been in minimal use ever since. (source:
http://www.tous-les-prenoms.com/prenoms/garcons/theotime.html)
Nice little list of names! I like most of them.