The standard expression is beck and call, not beckon call. In this phrase, beck is an old noun meaning a gesture, nod, or signal used to summon someone. That is why at someone’s beck and call means ready to come, help, or obey whenever that person signals or calls.
Because beck is rare in modern English, many people replace it with the more familiar verb beckon. That mix up is understandable, but the traditional phrase keeps the older word beck.
- Correct: The valet was at her beck and call.
- Correct: He expects everyone to be at his beck and call.
- Nonstandard mix up: She kept saying “beckon call.”
A good way to remember it is this: beck means a signal, and call means a spoken summons. Together, they suggest responding to either kind of request. Even if you never use beck by itself, the full expression remains common in formal and everyday English.