I don't think of Irish Moss as a fining agent, since it's used in the kettle. I always think of finings as stuff added to fermenter or package. That said, Irish Moss added to the kettle will help precipitate haze-forming compounds in the break.
Are you getting a good, rapid chill of your wort before knockout? A good cold break, assisted by carageenan (Irish Moss), will remove most of the compounds that contribute to chill-haze formation.
There are a couple of ways you can attack the clarity problem with finings. First is Gelatin. Gelatin will precipitate yeast and chill haze proteins. Isinglass is another.
For my money, if you have a problem getting your beer to drop bright, fine it in the fermenter before racking to package. You can also fine in the cask/keg - this is especially effective with Isinglass, which denatures in warm temperatures. So - I'd use gelatin in the fermenter two to four days before racking to cask and chill the beer. Then I'd add Isinglass when racking.
That's what's worked for me! Works for real ale brewers in UK, too.
Cheers,
Bob