Please help with mystery word

Hello,

I am new to these forums and also the Russian language. I am currently taking classes and trying to socialize with as many local people whom are native speakers. That being said i have a question regarding a specific word. I am unable to write it in Cyrillic because i am so new to the language but i would like to phonetically sound it in English and hopefully someone will be able to make the leap. Mind you i am an non british native english speaker.

The word.
It sounds to my ears like
Zaighic

I have been told that the first letter in cyrillic is з

Зайчик? Little hare, jackrabbit. In this form it is often used to express endearment.

"gh" is not a good conctruction to reproduce phonetics. "Though tough cough and hiccough plough me through." :)

If it is "Зайчик" (Zaychik) it can have the following meanings:

1)little hare
2)darling
3)plash of light

Hello,

Ahh, well now that all makes sense. I thank you all for your time and efforts now i guess i must think of something comparable to say to her. Suggestions welcome :)