Choke size is the diameter of the opening. On many oilfield beans it is quoted in 64ths of an inch, so a '32/64' choke is half an inch. A smaller opening raises the pressure upstream of it and, while the well is stable, lowers the rate. It does not change the reservoir. It changes the well's operating point on the outflow curve.
Beaning a well back is the ordinary way to limit drawdown, to stay below a sand-free rate, or to keep a gas cap from coning. Opening a choke on a damaged well does not repair the damage. If the inflow cannot supply the rate, a larger choke only lowers the wellhead pressure.