I'm not sure if this is an effective use of Espeon, but this is how I use them:
Espeon (M) @ Leftovers
Ability: Magic Bounce
EVs: 252 SpA / 4 SpD / 252 Spe
- Calm Mind
- Dazzling Gleam / Signal Beam / Shadow Ball
- Psychic / Psyshock
- Morning Sun
Calm Mind helps boost your special attack/defense even more, boosting your stats (after just one calm mind) from 359 SpA and 227 SpD, to 538 SpA to 340 SpD. I recommend using this move as many times as you think you can.
Dazzling Gleam/Signal Beam/Shadow Ball all help with type coverage. Dazzling Gleam is usually the move I go for, since it seems that more people use more Pokemon that are weak against Fairy- types. Signal Beam has two benefits--it takes out other Psychic- types, along with Grass- and Dark- types, and it has a 10% chance to confuse the target. Shadow Ball covers Psychic- and Ghost- types. Overall, any of these three moves work well
Psychic/Psyshock are STAB moves. I've used Psychic more often than Psyshock (since I fear that I'll go up against a physical wall and Psyshock will do little to no damage). They're both good moves.
Morning Sun is just a HP recovery option. I'm sure you could switch it out with another type coverage move (Dazzling Gleam/Signal Beam/Shadow Ball), but I like to have a way to recover HP. (Along with Morning Sun, you should probably have a Pokemon with the Ability Desolate Land/Drought, or a Pokemon with Sunny Day. This will increase the effectiveness of Morning Sun, since you get health back on a weather-dependent amount.)