Yes there is, but less caffeine than coffee.
Contrary to what you may have thought, Tea does have caffeine. An 8 oz. cup of black tea can contain 25-48 mg. of caffeine compared to an 8 oz. cup of brewed coffee which contains 95-165 mg. of caffeine.
The actual caffeine content of a cup of tea can vary considerably based on its origin, manufacturing process, and the preparation method. Including the steeping time.
Caffeine in tea and coffee are technically identical but the experience of the caffeine is different because tea contains L-theanine, an amino acid found only in tea. This reduces stress and promotes relaxation. It works with the caffeine in tea in a synergistic way to calm the body without reducing caffeine alertness. There are also high levels of antioxidants found in tea that slow the absorption of caffeine in your body and provide a longer period of alertness without the horrible crash your body feels after coming down from the caffeine jolt it experiences with the caffeine in coffee.
You don't have to give up your favorite tea because there is a way to decrease the amount of caffeine in it. Follow the steeping instructions for the tea, steep it for 30 seconds and then throw away the liquor. Add more water and steep for the amount of time recommended. This removes some of the caffeine by washing it away in the initial steep. Caffeine is extracted over time, and so, the first 30 seconds of a five minute steeping cycle may only extract 20 to 30% of its caffeine (the amount depends on the leaf and processing style). But, there is a down-side to this method. The antioxidants and other health benefits in the tea tend to be extracted more quickly than the actual caffeine. Therefore, that first quick steeping or "washing" removes some of the caffeine and some of the healthy elements found in tea.
All tea is made from the same plant, Camellia sinensis, if you want to eliminate caffeine completely, you should switch to Rooibos tea or Herbal tea blends made from botanicals not related to the Camellia sinensis plant because they are naturally caffeine free.
The Tea Time Lady...Love Life & Tea