In the below example I have created cycle animation function. Here I have added Button and ImageView in actvity_main.xml layout then I have created new directory (anim). In anim directory I have created cycle.xml layout and In MainActivity I have used AnimationUtils.loadAnimation function and setOnClickListener method. You can see below program it will clearly describe you to cycle Image animation in android.

Step(1)activity_main.xml-

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


    <LinearLayout
        android:layout_width="fill_parent"
        android:layout_height="fill_parent"
        android:orientation="horizontal">
        <LinearLayout
            android:layout_width="wrap_content"
            android:layout_height="fill_parent"
            android:orientation="vertical"
            android:gravity="bottom"
            android:layout_margin="30dp">
            <ImageView
                android:layout_width="wrap_content"
                android:layout_height="wrap_content"
                android:src="@drawable/one"
                android:id="@+id/image"
                android:textColor="@color/colorAccent"
                android:textStyle="italic"
                android:textSize="25dp"/>
        </LinearLayout>
        <LinearLayout
            android:layout_width="fill_parent"
            android:layout_height="fill_parent"
            android:orientation="vertical">
            <Button
                android:id="@+id/cycle"
                android:layout_marginTop="40dp"
                android:layout_width="200dp"
                android:layout_height="wrap_content"
                android:background="@color/colorAccent"
                android:text="Click me"/>
            </LinearLayout>
        </LinearLayout>
    </LinearLayout>

Step(2)-MainActivity-

 public class MainActivity extends AppCompatActivity {

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

        final Animation animCycle = AnimationUtils.loadAnimation(this, R.anim.cycle);
        final ImageView text = (ImageView) findViewById(R.id.image);
        Button btnCycle = (Button) findViewById(R.id.cycle);
        btnCycle.setOnClickListener(new Button.OnClickListener() {

            @Override
            public void onClick(View arg0) {
                text.startAnimation(animCycle);

            }
        });
    }

}

Step(3)-In anim directory I have created cycle.xml layout-

    <?xml version="1.0" encoding="utf-8"?>
<set xmlns:android="http://schemas.android.com/apk/res/android"
    android:interpolator="@android:anim/cycle_interpolator">
    <translate
        android:fromYDelta="-50%p"
        android:toYDelta="0"
        android:duration="1800"/>
</set>