MySQL Replication after a set period of time
I suggest it is not a real problem.  I have worked with a Master that had about 20 slaves, each pulling upwards of a million queries per day.  The polling and network issues were minor.

But if you must...  Have a job that does this forever:

repeat forever
    START SLAVE;
    sleep 0.1 sec
    STOP SLAVE;
    sleep 10 sec
end-loop


To make it more robust, adjust the sleeps if Seconds_behind_master gets "too high".