General Gameplay
Combat Patterns:
Observe and focus on your opponent's movement and firing patterns. Many players will jump excessively, and if you're timing is good enough, you'll be able to consistently frag them as they land. More difficult, but still a pattern, is excessive dodging - again, with accurate timing and a good wrist, aim your shots for where they will land and you'll be on the right track.
As you're observing their movement patterns, consider their firing pattern. Do they maintain a regular rate or are they very selective with their firing? If they have a regular firing rate, make certain that you're always moving when they're about to fire. If they are more selective with their shots, do your best to predict when they'll take a shot, or act to encourage the shot while being fully ready to dodge out of the way.
Keep in mind that following your opponent's patterns can often develop into a reflective pattern. Simply put, avoid patterns! Observe and adapt to your opponent's patterns, but don't mimic them.
The Wiggles:
This person doesn't dodge and he doesn't jump - he just strafes back and forth repeatedly with great speed. I've played games with people that do this, and more often than not, they are very difficult to predict. The advantage to never dodging or jumping is that you'll maintain 100% of your reaction speed because you'll always be grounded. When you're in the air, you have very little freedom of motion, and as such, you're a much more predictable target.
Instagib Games
The "Stop and Go":
Though the recharge time is quite short, there is still a guaranteed amount of time, after each of your opponent's shots, that he is unable to fire while his weapon recharges. The Stop and Go is a technique that takes advantage of this brief after-shot "safe zone" by shifting a significant amount of focus on aim, from moving, since moving is unnecessary if your opponent cannot fire.
The second aspect of the Stop and Go is the confusing and frustrating effect it can have on your opponent. If your opponent is looking for patterns in your movement, a brief stop every so often can completely throw him off your pattern. Further, the psychological aspect of not being able to hit you while you're not even moving can frustrate your opponent and encourage him to lose his focus and momentum. Consider stopping long enough for him to take a shot at you and observe how his aim is at stationary targets - some players are so used to focusing on moving targets that they can have more difficulty shooting stationary ones.