There is a feature within Twitter that allows you to continue to follow someone, but not see all of their posts pop up on your feed.  This feature is called “Mute”.  Here is how to Mute an account:

To mute a Twitter user on the web:

Muting from a Tweet:

  1. From a Tweet, click More at the bottom of the Tweet.
  2. Click Mute.

Muting from a profile:

  1. Go to the profile page of the person you wish to mute.
  2. Click the gear icon  on their profile page. This brings up a drop-down actions menu.
  3. Select Mute from the options listed.

Once you’ve muted a user on the web, you will see a confirmation banner. If you made a mistake, you can click Undo to un-mute a user right away.