て以来 means "ever since": after the event in the て-form, a new state set in and has lasted up to now. It follows the て-form of a verb, and the second half is a lasting state or a habit, often with ずっと, まいにち毎日 or いちど一度も〜ない.
It sounds formal and belongs to writing and careful speech. In conversation, てから does the same job: にっぽん日本にきて来てから、ずっとこのまち町にすんでいる住んでいる.
て以来 looks back over a long stretch. For yesterday or this morning, it sounds out of proportion; use てから.
A noun can take 以来 directly, with no て-form: きょねん去年いらい以来, そつぎょう卒業いらい以来.