In a bowl, whisk together honey, soy sauce, juice from 2 limes, mustard, and water. Set aside.
Preheat the griddle to medium heat.
Check the salmon fillets for pin bones and remove any you find.
Coat the fillets with a little oil and season with salt and pepper.
Cook the salmon on each side for about 3 minutes (more or less depending on how thick your fillets are).
When the fillets are about 90% done, pour the honey soy glaze over them and let the sauce reduce for a minute. Move the sauce around with your spatula to evenly reduce it.
Remove the fillets and the sauce from the heat and serve with steamed asparagus.