Isometrics isn't used as much these days as it was before I was born, but it has made a little bit of a comeback in the past couple years and I have made some use of them. People can hold for several seconds or more in a position and it does seem to help muscle growth. This idea pre-dates Charles Atlas who really marketed it and has been overlooked with the coming of wide use of weights and machines, but still works.
The three types of muscle contraction are concentric, eccentric, and isometric. If we take a body row, when you pull your body towards the handles you are concentrically contracting your muscles. If you hold at the top, you are isometrically contracting your muscles. If you slowly lower yourself down, you are eccentrically contracting your muscles, also sometimes called emphasizing the negative.
Any exercise where you stop part way, not because you are stuck, is an isometric one. Hold your shrug at the top. Stop midway down in the pushup. Hold a plank position. Everyone of those is isometric. This you could easily place in any TRX routine.
Isometrics are a good way to vary your routine. Depending on your goal, they can be quite helpful. Primarily, they are used to stimulate muscle growth. They are also used by people who train and compete in sports involving grappling. If you ever see someone spend time trying to hold onto a choke, they are able to hold on longer thanks to the fact that they use isometrics to get their muscles more accustomed to working for longer periods without rest.
Unless you are training in some sort of grappling, isometrics are most likely a way for you to stimulate muscle growth. For muscle growth, the consensus seems to be that as little as five seconds of holding can start to stimulate it, slightly longer might be better. You can use the above mentioned methods, I would follw with stretching and a protein shake or some milk to stimulate muscle growth.
Grapplers need to be able to hold for longer with their limbs so they tend to use different methods to improve their abilities. It can be as simple as trying to hold the triangle choke on a grappling dummy for progressively longer periods. Or a variation on this is possible with the TRX, but Randy Couture used to do a barbell circuit where he never let go of the barbell of which video exists on the internet. By doing a circuit (emphasizing the upper body) nonstop where you always held onto the handles for say ten minutes, you could help not only with your grip, but your muscle endurance as well.
I only plot world domination because the cat in my lap tells me to.