Beat eggs in a large bowl until frothy. Add salt, pepper, and milk.
Melt butter in a crepe pan on medium-low. Add egg mixture and spread thin throughout the entire pan as you would to make a crepe to make an omelette.
Mix lemon zest and juice with the cheese and 1/2 the chives with a fork.
Remove omelette to a clean work surface lined with cling film. Cover omelette with smoked salmon slices. Gently cover the salmon with cheese mixture.
Roll crepe up gently and cover with original cling film.
Refrigerate until hardened, approximately 1 hour.
Cut into 1.5cm (or .6 inches) and sprinkle with remaining chives.