I know the misery of allergies so I hope you feel better soon. Incidentally, that chemical as well as Methylchloroisothiazolinone.
www.skinsmatter.com/blog/?p=78
I was going to buy some Method handwash when I saw it contains both of these ingredients, so check stuff like handcreams, shampoos, handwash, shower gels as you are likely to touch your eyes - even unwittingly - after being in contact with items containing these ingredients.
The whole move towards removing parabens - which I think is ridiculous as evidence of causing harm is limited...there is a lot od scaremongering out there - has resulted in companies using the above, plus other potentially irritating preservatives like benzyl alcohol, phenoxyethanol, formaldehyde-releasing preservatives etc.
I have never rated Clarins. I am no expert but from experience and knowledge I've gleaned over the years - out of necessity - it is definitely not the natural brand they would like you to think!
People can react to anything but explore Trilogy's sensitive line (the cream cleanser can be used on eyes). It's not super clean in terms of ingredients but Kiehl's Supremely Gentle Eye Makeup Remover is fairly innocuous and gentle (I use it all over my dampened face then rinse). I love Jurlique for moisturiser and they are great at giving samples if you call them (though they do contain esential oils which can be problematic for some).
Hope you feel better soon. 
Ps. You should have returned the Clarins to the counter you bought it from and reported the reaction to them.