I recently moved my DNS from Network Solutions to Cloudflare. It has been way over 48 hours and when I run dig mysite.com I get:
mysite.com. 86400 IN NS terry.ns.cloudflare.com. mysite.com. 86400 IN NS lia.ns.cloudflare.com.
I changed my A records from an old IP to a new IP in Cloudflare but the site is still going to the old IP. Also verified with running dig mysite.com I get the old IP.