In the below example I have created a ListView , when user touch ListView row item then that particular row item will be remove dynamically. Here, first I have added Listview in activity_main.xml layout. In next step I have created row.xml layout here I have added a TextView.

Now see coding part In MainActivity I have used ArrayList in array list , In ArrayList I have added string names then I have used setOnItemClickListener method and Toast function, In next line I have created removeListItem method and here I have used AnimationUtils.loadAnimation to remove listitem. You can see below example code it clearly describe you "How to remove ListView Item dynamically using animation function in android".

Step(1)-actvity_main.xml layout-

<?xml   version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:orientation="vertical"
    android:layout_width="fill_parent"
    android:layout_height="fill_parent">

    <ListView android:layout_width="fill_parent"
        android:layout_height="fill_parent"
        android:id="@+id/mainListView">
    </ListView>

</LinearLayout>

Step(2)-Created a row.xml layout-

<TextView xmlns:android="http://schemas.android.com/apk/res/android"
    android:id="@+id/rowTextView"
    android:layout_width="fill_parent"
    android:layout_height="wrap_content"
    android:padding="10dp"
    android:textSize="16sp" >
</TextView>

Step(3)-MainActivity-
 

public class MainActivity extends AppCompatActivity {

    private ListView mainListView ;
    private ArrayAdapter<String> listAdapter ;
    ArrayList<String> employee =
            new ArrayList<String>(){
                private static final long serialVersionUID = -1773393753338094625L;
                {
                    add("Raj ");
                    add("Inder ");
                    add("Tarun");
                    add("Qazi");
                    add("Siva");
                    add("Sachin");
                    add("Sombir");
                    add("Om");
                    add("Sumit");
                }
            };

    @Override
    public void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);

        mainListView = (ListView) findViewById( R.id.mainListView );

        listAdapter = new ArrayAdapter<String>(this, R.layout.row, employee);

        mainListView.setAdapter( listAdapter );

        mainListView.setOnItemClickListener(new AdapterView.OnItemClickListener() {
            @Override
            public void onItemClick(AdapterView<?> parent, View rowView, int positon, long id) {
                Toast.makeText(rowView.getContext(), "" + positon, Toast.LENGTH_LONG).show();
                removeListItem(rowView, positon);
            }
        });

    }

    protected void removeListItem(View rowView, final int positon) {

        final Animation animation = AnimationUtils.loadAnimation(MainActivity.this, android.R.anim.slide_out_right);
        rowView.startAnimation(animation);
        Handler handle = new Handler();
        handle.postDelayed(new Runnable() {

            @Override
            public void run() {
                employee.remove(positon);
                listAdapter.notifyDataSetChanged();
                animation.cancel();
            }
        },100);

    }

}