Look at the options around Elise:
by the time you can afford 2x L2 Elises, you should be L4-6. 2x L2 Elises cost 6 gold, and this isn't achievable unless you have been re-rolling, so either your other two units (at 4 since if you're re-rolling you probably haven't bought XP or ranked other champions) are Varus or Morgana (for Demon synergy), a 2-unit synergy such as Knights, Brawlers, Rangers, or Gunslingers, or a random mix of whatever you could get your hands on. L5 and beyond it is relatively unviable to keep pursuing 1-cost units as they become uncommon at that point.
With the exception of running Brawlers or L2 Knights, you're extremely squishy.
Elise is offset by her squishyness -- which is why she was dropped from a 2-cost to 1-cost with decreased spiderlings spawn. Also she makes Demons viable from early game (which is huge as they are sub-par late game and difficult to complete as a set).
Consider some of the alternatives to running 2x L2 Elise. 2x L2 Garen, Nidalee, Warwick, Mordekaiser, Darius, Kassadin, Tristana.
2x L2 Elise loses to all of those compositions. The only reason to go Elise is either Demon synergy or to speed up the game.
Garen, Mordekaiser & Darius can stomp spider lings. Kassadin & Warwick have no problem out-healing them. Nidalee will keep the rest of the team alive and push back with amazing DPS. Lastly, Tristana's ability directly counters spiderlings. You don't even need 2x L2, you just need 1 with decent mana and she'll take 'em.
I suggest that you consider alternative compositions and play styles. 2x of any L2 is difficult to face, especially when they are paired with their set bonuses.
The game is in beta, and has changed a great deal since the recent patch.
