Aerobars help you get into a more aerodynamic position so as to reduce aerodynamic drag. Aerodynamic drag is proportional to velocity squared: If you double your speed, you quadruple your aero drag. What this means is that at low speed, there is little aero-drag, and at high speed there is lots. Aerobars are most effective at the highest speeds - so if you don't have the initial speed to improve on the improvement is going to be so minimal as to not be worth the effort.
One of the benefits of aero bars is that they make it easier to close the scoop created by the opening between your arms in the typical down position using drops.
They also force you to get the ideal flat back position unless your handlebars are too high. This allows air to pass over instead of hitting you in the chest.
So far all good stuff but you have to get your positioned dialled in 100% or it's all a wasted effort and a painfull effort at that.
There are other easy ways of reducing your drag such as skin suit, deep section wheels, aero-lid etc that can have an impact on your speed too but from experience I would go for legs and lungs first as I doubt (I may be wrong
) that you're achieving concistent speeds over the whole TT course at which the impact of an aero position will be beneficial...in time however things will change for you and the addition of aerobars and consequentially the benefits of the position will be evident.