Here is the best I got so far
Wait until the counter is up to 8880 then take the counter(7 spins)
Raise it to 8881 and give it back.(1 button press)
When the counter is up at 8888, take it again.(14 spins)
Then raise it to 8891 and give it back.(4 button press)
When the counter is up to 8898, take it again.(21 spins)
Then raise it to 8901 and give it back.(7 button press)
When the counter is up to 9909, take it again.(29 spins)
Then raise it to 9910 and give it back.(8 button press)
When the counter is up to 9990, take it again.(37 spins)
Then raise it up to 9991 and give it back.(9 button press)
Let it go all the way to 0000(46 spins)
So it took 46 spins instead of 9
EDIT
I just found a much better way
Wait until the counter is up to 9990 then take the counter(8 spins)
Raise it to 9991 and give it back.(1 button press)
When the counter is up at 9999, take it again.(16 spins)
Then raise it to 0001 and give it back.(3 button press)
When the counter is up to 0009, take it again.(24 spins)
Then raise it to 0010 and give it back.(4 button press)
When the counter is up to 0090, take it again.(32 spins)
Then raise it to 0091 and give it back.(5 button press)
When the counter is up to 0099, take it again.(40 spins)
Then raise it up to 0100 and give it back.(6 button press)
When the counter is up to 0900, take it again.(48 spins)
Then raise it up to 0901 and give it back.(7 button press)
When the counter is up to 0909, take it again. (56 spins)
Then raise it up to 0910 and give it back.(8 button press)
When the counter is up to 0990, take it again. (64 spins)
Then raise it up to 0991 and give it back.(9 button press)
When the counter is up to 0999, take it again. (72 spins)
Then raise it up to 1000 and give it back.(10 button press)
When the counter is up to 0000, you are done. (81 spins)
So it took 81 spins instead of 9