Introducting, the all new Chikka. They now have a web-based interface where you could send free text and chat to Yahoo!, MSN, Google Talk, AIM and ICQ buddies aside from your Chikka buddies.
I just made a test where I sent an SMS to my mobile number. I immediately got the usual Chikka text if I want to block it or not. I also received the SMS instantly to my mobile number.
Chikka made the right move to make a web application. Also, you could save some space and memory usage since you would only need to use your browser.
If you still prefer to use the desktop version, you may download the Chikka messenger (available only for Windows OS).