Unity3d ScrollRect Auto-Scroll, Dropdown Use: Places this component in the Template of Dropdown (with the ScrollRect component)

ScrollRectAutoScroll.cs

using System.Collections.Generic;
using UnityEngine;
using UnityEngine.EventSystems;
using UnityEngine.UI;
//comment the next line out if you aren't using Rewired
using Rewired;

[RequireComponent(typeof(ScrollRect))]
public class ScrollRectAutoScroll : MonoBehaviour, IPointerEnterHandler, IPointerExitHandler
{
    public float scrollSpeed = 10f;
    private bool mouseOver = false;

    private List<Selectable> m_Selectables = new List<Selectable>();
    private ScrollRect m_ScrollRect;

    private Vector2 m_NextScrollPosition = Vector2.up;
    public int RewiredPlayerID = 0;
    private Player rePlayer;

    void OnEnable()
    {
        if (m_ScrollRect)
        {
            m_ScrollRect.content.GetComponentsInChildren(m_Selectables);
        }
    }
    void Awake()
    {
        m_ScrollRect = GetComponent<ScrollRect>();
        //remove this line if not using Rewired
        rePlayer = ReInput.players.GetPlayer(RewiredPlayerID);
    }
    void Start()
    {
        if (m_ScrollRect)
        {
            m_ScrollRect.content.GetComponentsInChildren(m_Selectables);
        }
        ScrollToSelected(true);
    }
    void Update()
    {
        // Scroll via input.
        InputScroll();
        if (!mouseOver)
        {
            // Lerp scrolling code.
            m_ScrollRect.normalizedPosition = Vector2.Lerp(m_ScrollRect.normalizedPosition, m_NextScrollPosition, scrollSpeed * Time.unscaledDeltaTime);
        }
        else
        {
            m_NextScrollPosition = m_ScrollRect.normalizedPosition;
        }
    }
    void InputScroll()
    {
        if (m_Selectables.Count > 0)
        {
            //remove the rePlayer getaxis calls is you aren't using Rewired
            //if it still doesn't work, check your input manager settings's axes and make sure they are defined properly
            //if you're using the new input system, this is also probably where you should replace the calls to the old one
            if (rePlayer.GetAxis("MoveHorizontal") != 0.0f || rePlayer.GetAxis("MoveVertical") != 0f 
                || Input.GetAxis("Vertical") !=  0.0f || Input.GetAxis("Horizontal") != 0.0f || Input.GetButtonDown("Horizontal") 
                || Input.GetButtonDown("Vertical") || Input.GetButton("Horizontal") || Input.GetButton("Vertical"))
            {
                ScrollToSelected(false);
            }
        }
    }
    void ScrollToSelected(bool quickScroll)
    {
        int selectedIndex = -1;
        Selectable selectedElement = EventSystem.current.currentSelectedGameObject ? EventSystem.current.currentSelectedGameObject.GetComponent<Selectable>() : null;

        if (selectedElement)
        {
            selectedIndex = m_Selectables.IndexOf(selectedElement);
        }
        if (selectedIndex > -1)
        {
            if (quickScroll)
            {
                m_ScrollRect.normalizedPosition = new Vector2(0, 1 - (selectedIndex / ((float)m_Selectables.Count - 1)));
                m_NextScrollPosition = m_ScrollRect.normalizedPosition;
            }
            else
            {
                m_NextScrollPosition = new Vector2(0, 1 - (selectedIndex / ((float)m_Selectables.Count - 1)));
            }
        }
    }
    public void OnPointerEnter(PointerEventData eventData)
    {
        mouseOver = true;
    }
    public void OnPointerExit(PointerEventData eventData)
    {
        mouseOver = false;
        ScrollToSelected(false);
    }
}

THANKS!

This was really helpful, thank you!

2022 and still being helpful ❤️

❤️

For those who want to use this and have a grid of elements, you can solve this by dividing selectedIndex and m_Selectables.Count by the number of items in a row, for 7 items it would look like this:
scroll.verticalNormalizedPosition = (1 - ((selectedIndex / 7) / ((((float)selectables.Count) / 7) - 1)));