LC Meter

The circuit and code looks legit in the link you have provided. Also the athor himseld has demonstrated his work in the video at the end of the article, so it should work as described.

Have you used the right values of inductor and capactor in the circuit, if yes you can check if it is oscillatiing using a scope. Also try using the Arduino to debug your circuit, thats where they are good in. Remember no circuit will work in the first power up, you have to debug it to make it work