How long does it take to petition my wife if I arrived as an immigrant a couple of years ago?

Significantly more information is needed in order to provide advice about eligibility to petition for a spouse, as well the time it may take to achieve success. That information includes, for example, information about your current immigration status and your wife's immigration-related history. There really is no substitute for consulting with an immigration attorney who, after learning all of the relevant information about you and your wife, could advise about eligibilities, options and strategies, including advice about the time needed for success, and could offer legal representation for the often quite complex application process.