I sailed a 2011
Leopard 39, which is the same boat (the only difference between the 2010 L38 and the 2011-2015 L39 is that the
cockpit roof on the 39 is directly attached to the
salon roof without a space in between). It certainly seemed safe to me. We didn't have any waves or bad
weather, however, all the Leopards are sailed from
South Africa to their
destination in the US,
Europe, or Oz, so unless you bought it directly from the dealer in
South Africa, it's already crossed an ocean and proved it's
seaworthy.
And it certainly doesn't look too narrow. It has a length/beam ratio of 1.89. Compare that to the
Gemini 105mc which is a bit narrow with a length to beam ratio of 2.39, yet it's still a fine boat.