Order of Sol is an interesting resource, but one of somewhat limited use. The most obvious use is in conjunction with Nasir Meidan, to prevent the run from entirely ending on a Pop-Up Window or Paper Wall. It has good synergy with Personal Workshop, to get hardware and programs hosted on it out in a timely manner. Order of Sol can also be a minor recovery card after getting hit with Closed Accounts. It can even see some minor play in Valencia Estevez when used with Personal Workshop. The bonus is that it is one influence, however for two credits and only one activation per turn, Order of Sol seems quite inadequate for regaining lost credits. The earlier you play it, the more credits you'll make back, especially in Nasir decks.
So to sum up: it's best utilized in Nasir or Valencia decks alongside Personal Workshop. As a recovery card it's inadequate compared to some other cards out there, but it definitely shines with Nasir.