frame_cache.py

import pymel.core as pm

pm.newFile(f=True)

# create the ctrl, add attr and set som keys
ctrl, _ = pm.circle(n='ctrl')
ctrl.addAttr('anim', k=True)
pm.setKeyframe(ctrl, v=0, attribute='anim', t=1)
pm.setKeyframe(ctrl, v=10, attribute='anim', t=25)
pm.setKeyframe(ctrl, v=0, attribute='anim', t=50)

# get a ref to global time
time = pm.PyNode('time1')

for i in range(10):
    
    # add offset attr
    ctrl.addAttr('offset{0}'.format(str(i)), k=True, dv=i*-2)
    
    # pma to offset the time
    pma = pm.createNode('plusMinusAverage')
    
    # create node cache
    cache = pm.createNode('frameCache')

    # hook in the global time
    time.outTime >> pma.input1D[0]
    
    # subtract the offset value
    pm.connectAttr('{0}.offset{1}'.format(ctrl, str(i)), pma.input1D[1])
    
    # hook up the output to the cache varyTime attr
    pma.output1D >> cache.varyTime
    
    # connect the animated attr to the strem
    ctrl.anim >> cache.stream
        
    cube, _ = pm.polyCube()
    
    # set the varying output to drive the translate 
    cache.varying >> cube.ty
    
    cube.tx.set(i*2)