In drawable folder, make one file and name anything you want. Then paste this.
<?xml version="1.0" encoding="utf-8"?>
<selector xmlns:android="http://schemas.android.com/apk/res/android">
<item android:drawable="@drawable/radio_checked_icon" android:state_checked="true"/>
<item android:drawable="@drawable/radio_unchecked_icon" android:state_checked="false"/>
</selector>
radio_checked_icon and
radio_unchecked_icon, these are the custom images you want to put, when your checkbox is clicked, then radio_checked_icon, else radio_unchecked_icon
and then in layout use like this:
<CheckBox
android:id="@+id/tiny_radio"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:layout_alignParentEnd="true"
android:layout_alignParentRight="true"
android:layout_centerVertical="true"
android:button="@drawable/name_of_your_file_present_in_Drawable"
android:padding="@dimen/padding_short" />