Out-of-order CPUs, devices and methods diminish the time penalty from stalling the pipe to rebuild a rename table, such as due to a misprediction. A microprocessor can include a pipe that has a decoder, a dispatcher, and at least one execution unit. A rename table stores rename data, and a check-point table (“CPT”) stores rename data received from the dispatcher. A Re-Order Buffer (“ROB”) stores ROB data, and has a static mapping relationship with the CPT. If the rename table is flushed, such as due to a misprediction, the rename table is rebuilt at least in part by concurrent copying of rename data stored in the CPT, in coordination with walking the ROB.