Zìcóng tā chūmíng hòu, yāoqǐng hán jiēzhǒng ér lái.
Since he became famous, invitations have been arriving one after another.
Tips
memory
踵 means heel. 接踵 literally means heel-to-heel (one person's heel touching the next person's toes), vividly describing a crowd so dense that arrivals are back-to-back.
usage
接踵而来 is used for things that arrive in rapid succession — events, problems, guests, news. It carries a sense of an overwhelming or relentless flow.