Hi! Is it possible to see Skype’s history (which I know is saved locally) even if I’m using Skype on a second computer?
Yes but history sometime does not get updated if the one you are talking to using the first computer is not online on the second one.
Will it update when the user connects to the second computer?
Instead of using skype directly connect your skype account with an online Im service like imo.im, they will store your chat history online.
Thank you for the suggestion 