To quickly access Truecaller's Contact tab & Call logs, add the widget to your phone's home screen & have a seamless experience. To do so, please follow the below-mentioned steps:
1. Long press on the phone's home screen.
2. Tap on Widgets.
3. Search for Truecaller > hold and drag the shortcut to the home screen.
Or
Open Truecaller > Settings > General > scroll down to the bottom of the page > Add 'Contact shortcut' to Home screen.