KakaoTalk can access the following on your device:

In-app purchases
Device & app history

• retrieve running apps

Identity

• find accounts on the device

Contacts

• read your contacts

Location

• approximate location (network-based)
• precise location (GPS and network-based)

SMS

• receive text messages (SMS)
• send SMS messages

Phone

• directly call phone numbers

Photos/Media/Files

• modify or delete the contents of your USB storage
• read the contents of your USB storage

Camera

• take pictures and videos

Microphone

• record audio

Wi-Fi connection information

• view Wi-Fi connections

Device ID & call information

• read phone status and identity

Other

• close other apps
• receive data from Internet
• full network access
• prevent device from sleeping
• view network connections
• run at startup
• control vibration
• change your audio settings
• install shortcuts
• pair with Bluetooth devices
• send sticky broadcast
• draw over other apps
• change network connectivity
• connect and disconnect from Wi-Fi
• access Bluetooth settings

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Last Update: 06/12/2015

Source:
https://play.google.com/store/apps/details?id=com.kakao.talk