If I were to rez Sundew on the runner's turn after he has spent a click, do I get my credits on the next click if the runner does not run Sundew's server? The first time does refer to the first time that the Runner spends at least 1 click. The clause about running on Sundew is conditional on them spending that first click(s). If the Runner has already spent a click, rezzing Sundew has no effect.
when does the effect of gaining 2 credits actually occur?
I'm having trouble understanding when it should occur because the trigger condition is a cost being paid, but then the gaining of credits is conditional upon the kind of effect associated with that cost being carried out.
Does it happen at the end of the initiation phase of a run, if one is being made? Does it happen at the end of the run instead?
Supppose a run isn't being initiated. Instead, the Runner clicks to play Forged Activation Orders. Does the Corp player get those two credits as soon as the Forged Activation Orders is placed on the table, or does the event resolve before the credits are gained? The credits are gained when the Runner spends a click to initiate an action that does not make a run. So you would get the credits before the Forged Activation Orders resolves.
Suppose there is a rezzed Sundew in a remote server and the Runner plays Cyber Threat targeting that server.
Does the Corp decide whether or not to rez the ICE before Sundew triggers? Put another way, what does "just initiated" on Sundew mean timing wise? The credits are gained when the Runner spends the click to play the Cyber Threat, before the Cyber Threat is resolved.