The team have changed 40% of their starting lineup during the off-season, as well as bringing in Rivers as a new head coach.
Rivers told reporters: "I don't know if it matters if we have an identity, but it's really important to understand who you are. I think that's a big difference and that takes a while, too.
"When you look at it that way, I don't really know what our identity was anywhere I've coached. You are whatever everyone says it is.
"I don't even know what [the Boston Celtics'] identity was [when they won the championship]. At the end of the year people said we played really hard and that I guess we were physical. We were a defensive team even though we scored a lot points."
The Clippers face the Oklahoma City Thunder later today.