I have to admit, i kinda like this idea.
In the past, ive had to open a new window and work in two Firefox windows, (as opposed to two tabs) split down the middle of my screen, keeping an eye on the clock.
But maybe Pini is onto something here?
When im bidding on a player to buy him, i do one of two things, i sit on the 'Bids' page, and refresh it every 20 seconds. Or i sit on the player's profile page, and refresh that every 20 seconds, these will tell me if my bid has been outbidded.
So instead of an alarm like Pini suggested, perhaps what could be changed which i believe would be more practical, would be that the Bids page, or the player profile page, gets automatically refreshed, if you get outbidded.(assuming you are on this page) - (You would have to implement it on the Finances page as well. )
The Bids page would automatically change to show your bid in the 'Previous bids' section...... and the player page will not have your team name against the previous bid auto refreshed.
keep up the good work Pini - most of your suggestions are a bit left field and need refining, but they do make us think outside of the box, so keep it up.