Not as far as I'm aware.
You want to look for an edge triggered JK flip flop with a synchronous clear, unfortunately clear and preset are asynchronous.
The easiest way is to use some logic between the clock and either Q or Q-bar to derive a clear signal.
If the flip flop is positive edge triggered, you want a falling edge on the clock, combined with a low on q-bar to generate the appropriate level on the clear input. This is either a NOR or OR function
If the flip flop is positive edge triggered, you want a falling edge on the clock, combined with a low on Q-bar to generate the appropriate level on the clear input. This is either a NOR or OR function
If the flip flop is negative edge triggered, you want a rising edge on the clock, combined with a high on Q to generate the appropriate level on the clear input. This is either a NAND or AND function
It has no specific name that I'm aware of. I will call it "Bruce"
