PlayerLook.cs

using System.Collections;
using System.Collections.Generic;
using UnityEngine;

public class PlayerLook : MonoBehaviour {
    [SerializeField] private string mouseXInputName, mouseYInputName;
    [SerializeField] private float mouseSensitivity;
    [SerializeField] private Transform playerBody;
    private float xAxisClamp;

private void Awake()
{
    LockCursor();
        xAxisClamp = 0.0f;
}

private void LockCursor()
{
    Cursor.lockState = CursorLockMode.Locked;
}

private void Update()
{
    CameraRotation();
}

private void CameraRotation()
{
    float mouseX = Input.GetAxis(mouseXInputName) * mouseSensitivity * Time.deltaTime;
    float mouseY = Input.GetAxis(mouseYInputName) * mouseSensitivity * Time.deltaTime;
    xAxisClamp += mouseY;
        if (xAxisClamp > 90.0f)
        {
            xAxisClamp = 90.0f;
            mouseY = 0.0f;
            ClampXAxisRotationToValue(270.0f);
        }
        else if (xAxisClamp < -90.0f)
        {
            xAxisClamp = -90.0f;
            mouseY = 0.0f;
            ClampXAxisRotationToValue(90.0f);
        }
       
        transform.Rotate(Vector3.left * mouseY);
        playerBody.Rotate(Vector3.up * mouseX);
    }

    private void ClampXAxisRotationToValue(float value)
    {
        Vector3 eulerRotation = transform.eulerAngles;
        eulerRotation.x = value;
        transform.eulerAngles = eulerRotation;
    }
}