ActionScript 3.0 :: Socket Event Triggers Movieclip Movement - Need More Frequent Rendering

I have a flash project that's implementing a simple two player game. I have added an enterFrame function to my main movie which listens for keyboard activity in order to move a cowboy gunslinger. Whenever the cowboy moves, I send a message over a socket to a server which dispatches the movement to the other connected client. This works pretty well, however, the movement messages tend to arrive in clumps which results in jumpy animation of my cowboy on my opponents screen and jumpy animation of his cowboy on my screen. To illustrate, i put a trace in my enterFrame function because I am imagining that this function will run roughly once each time my main movie renders the screen. I also put a trace statement in my function that responds to network traffic and moves the remote player's cowboy on my screen. Here's the output:

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