I filed an amended return to claim the lifetime learning credit after receiving my refund. The IRS website says this is a credit, does this mean I will not get any money?

Look at the form 1040X … if you could use the credit it will be on line 7 and can only be applied against the tax liability on line 6 ... so it is possible it will do nothing for you since it is not refundable. 

Column A should have the figures from the original return, Column C the corrected figures and Column B the differences between the other 2 which needs an explanation on page 2 of the form 1040X.

If you completed it correctly you will see an entry on either line 16 OR 18:

On line 16 should be the amount you paid with your original return. If you paid nothing already then this line should be zero.

On line 18 should be the amount of your original refund you received. If you have not received your refund yet then you need to wait for it. If the refund changes from what you expected then this line must reflect that change.

Then you will see your extra refund on line 22 OR  the new balance due you need to pay on line 20.