Lyric discussion by sleepfornow 

This could be about Peter coming out of the disciples' boat and walking on water towards Jesus. After that incident they arrived at Gennesaret (which is spelled like that, for some reason, and not like the song title.)

Starting at the "I want to skip like a stone..." part, I can see the connection. Skipping like a stone from a stronger arm could mean simply staying on the water instead of staying up for a little while and then sinking. The stronger arm could refer to Jesus's strength holding him on the water. The next section is about him being brave and leaving the boat. I'm not sure what the next is about, but when it says he broke into a sweat, it could be about when he begins to sink.

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