There is an app of coinmarketcap available on the playstore. At least for android, im not sure about IOS.
But the interface of the app is pretty smooth. Updates are going pretty fast and you have the option to mark coins as favourite.
You can then easily go to the fav-tab and only look at the coins you are interested in. Viewing charts, setting alarms, everything possible.
No need to visit the website from mobile phone.. because..ye.. this is really unwieldy.

Playstore: https://play.google.com/store/apps/details?id=com.kyriakosalexandrou.coinmarketcap