```python
def hold_queue(callers: list, limit: int) -> list:
    if limit <= 0:
        raise ValueError("Limit must be greater than zero.")
    
    if not callers:
        return []
    
    # Use a deque to efficiently manage the queue
    from collections import deque
    
    queue = deque(callers)
    
    # If the queue exceeds the limit, remove the oldest caller
    while len(queue) > limit:
        queue.popleft()
    
    return list(queue)
```