Not really, the only thing where something didn't make sense in the other show without watching both was Laurel getting the canary cry gizmo in an episode of the Flash and it not even warranting a throwaway line in Arrow, she just had it. The others are (timeline issues aside) all pretty self explanatory within the show you were watching. Do you really need intimate knowledge of Firestorm and Ollie's current storylines when they're called in for what amounts to little more than a cameo for a fight? Do you need to be up to speed on the Flash when Ollie calls in a favour because he needs someone who can move fast?
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