Yes, there do exist risks, but considered to other shared public areas or surfaces, infection chances are barely low. There have been very few documented cases as well.
One of the reasons behind this would be the time one spends riding in an elevator. The shorter the time you spend, the higher the chances of mitigating the risk of transmission.
However, that still doesn’t mean we should be thronging in lifts without any risk of safety. Despite the low risk, one should continue to take necessary precautions and protect yourself from being exposed to the virus, or infection carriers.
Here are some of the safety measures which can be adapted to have a safer ride on the elevator.