Finely chop the chives. Grate the cheddar cheese using the large holes of a box grater, and set aside. Crack 3 eggs into a bowl and whisk well with a pinch of salt and pepper.
Step 2
Add the oil and butter to a non-stick frying pan set over medium-low heat. Heat for a few minutes until the butter has melted and is foaming. Pour the eggs into the pan.
Step 3
Cook for about 20 seconds, then use a spatula to gently scrape the outer edges to the middle to allow the runny egg to fill in the gaps in the pan. Cook until the egg has just set.
Step 4
Fill the omelet with the grated cheese and chopped chives.
Step 5
Use a spatula to fold gently in half or into a roll. Slide the omelet onto a plate to serve. Garnish with extra chive and a gride of black pepper (optional).