Apex domains cannot have CNAME records.
Question and response
Question
dig eyeblink.site. NS
Answer
eyeblink.site. 5 NS ns-46.awsdns-05.com.
eyeblink.site. 5 NS ns-1580.awsdns-05.co.uk.
eyeblink.site. 5 NS ns-1052.awsdns-03.org.
eyeblink.site. 5 NS ns-1640.awsdns-13.co.uk.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0