KMI  Control Freak does the trick (and much more apparently), it actualy works (except with "alerts" or things like that - which in my opinion is a good point) and it is free.  
(Version 1.2)

MARTY  Not working for me either. I just can't beleive that no one on this planet is able to solve this problem. Human walked on the moon...there must be a way! During that time that "e" bouncing and bouncing over and over again drives me crazy!!!!!

Please please help. I'm ready to pay....  
(Version 1.2)

MUDFLAP  It's not working for me with Entourage 2004 either. My God that bouncing E is driving me insane. INSANE I TELL YOU!  
(Version 1.2)

MORGAN  It doesn't work with Entourage on my machine, either. Does anyone know of a fix? That bouncing "e" is driving me nuts! :-P  
(Version 1.2)

ANONYMOUS  It's not working for me at all. I use Entourage, and even though there's a preference for turning off the bouncing icon, it won't stop. I tried this app, but it doesn't stop it either.  
(Version 1.2)

ANONYMOUS  Maybe it's not possible... but, once again, I wish there was a setting for "bounce once and then stop." I like getting a visual alert, but I don't want it to bug me over and over...  
(Version 1.2)

ANONYMOUS  Works quite well to get Entourage to shut up. That's all I ever used it for, and man did I miss it under Panther. Now bring on (de)Metallifizer!  
(Version 1.2)

ANONYMOUS  This program is invaluable IF you have a program that uses dock bouncing for notification, and does not allow you to disable that behavior. The current public version of MT-NewsWatcher will start bouncing if there are any errors in downloading Usenet binaries, and bounce indefinitely - this uses a lot of processing power [Current private betas have removed this behavior].

If you don't have any such apps, then yes, it's useless for you. Don't knock a free product that's useful to others, though!  
(Version 1.2)

PATRICK EWING  this program saved my life... i think everyone should use it... i owe my very existence to Dock Detox 1.2

thanks!  
(Version 1.2)

LIVINUS  so how is this any different from deselecting "animate opening applications" in de dock preference pane???

I haven't seen start up bouncing since the beginning of Mac OS X, and I don't need a haxie for it!  
(Version 1.2)

ANONYMOUS  Yet another useless haxie. It's been at least a year since I've been bothered by an application bouncing for my attention in the dock. Any decent app today will let you control this from its preferences.  
(Version 1.2)

ANONYMOUS  I used this product and my wife left me! Do not use!  
(Version 1.2)

SURFZ  this tool freaked me out! Couldn't load the finder, nor even in safe mode with panther!!!!! DO NOT USE IT  
(Version 1.1)

DORIAN INNES  Had the same exact thing happen to me (see comment just below this one). DO NOT USE THIS APP WITH PANTHER.  
(Version 1.1)

ANONYMOUS  Hi,

Tried to install with 10.3, after restart finder could no longer launch after login screen. Safe boot didn't work so had to restart from CD and trash Dock Detox.ape. Use with care 'cos if you don't have a boot cd, you're stuck.

Anyone else experience this?

Ciao.  
(Version 1.1)

ANONYMOUS  Nice App! And now- please do something to stop bouncing, when a particular application is requesting user's attention. Would be great :)  
(Version 1.1)

ALLEN WATSON  Dock Detox is one of those things you dont' realize you can't live without until you have had it and lost it. I can't begin to tell you how much less _tension_ I feel when I do not have those blasted Dock icons bouncing up in my face! Best of all, it is both free and trouble-free.  
(Version 1.1)