Can I contribute to an already existing Roth IRA as I would a savings account?

I have an already existing Roth IRA from an old job. I would like to contribute slowly to a savings account, such as my Roth, but without being able to access so readily as an online savings (ING, et al). Would there be fees involved in this? Tax ramifications? Any other wise options?

I am honestly just looking for something to contribute a small amount each month to – for savings down the line.