While Apple discourages jailbreaking its devices, jailbreak apps can boost your productivity and even improve security.
iNalyzer (free from Cydia) iOS penetration testing framework for developers. AppSec Labs' iNalyzer allows you to use Web-based pen-testing tools such as scanners and proxies to test iOS applications. iNalyzer maintains the attack logic and forwards it onto the targeted iOS application.
(free from Cydia) This terminal app provides you with a command line interface to your device, from which you can install a huge range of security applications and tools such as the Metasploit penetration testing framework, Nmap and Ettercap.
(99 cents from Cydia) Asos is a simple to use security tweak which allows you to lock individual apps with a passcode. Protected apps can also be unlocked using TouchID fingerprint recognition. You can require authentication every time the app is opened, on a timed basis, or once per session. Asos also blurs your apps in multitasking so prying eyes can't see what you were doing.
(99 cents from Cydia) GuestMode allow you to choose which apps are accessible to anyone using your device - perhaps while you let them look at product shots, price lists or other material. Guest mode can be activated in a number of ways, including via a Guest passcode or by swiping left from the lockscreen.
(free from Cydia) WiFi Explorer is a wireless network scanner tool to find and display the information of all 802.11a/b/g/n/ac wireless networks around you. It can be used to detect rogue access points and check channel conflicts, and supports 2.4 and 5 GHz networks as well as 20, 40 and 80 MHz channel widths.
(free from Cydia) One of the biggest faults with iOS is that the lockscreen lacks basic functionality -- such as the ability to show upcoming appointments at a glance -- that you get in Android and even Windows Phone. Calendar for Lockscreen enables this, and if it helps you avoid missing a single business appointment it may have been worth installing.
($1.50 from Cydia) Confero is designed to enhance productivity by removing all notification badges and placing them in a single folder. This is accessible by tapping on the status bar icon which is available from within apps. Apps with notifications can be launched directly from the Confero folder.
(free from Cydia) A battery utility, BatteryLife provides detailed information about your battery usage including information about how long your current charge will last, which can be invaluable if you are about to enter a meeting.
(free from Cydia) iOS's control center is useful but limited to just a handful of controls including toggles for Wi-Fi, airplane mode and Bluetooth. FlipControlCenter makes it far more powerful, saving you time by allowing you to add toggles for VPN, cellular data, Personal Hotspot and many other functions.
(free from Cydia) Entering text on mobile device keyboards can be slow and cumbersome, but this productivity enhancer can help you type faster by offering haptic feedback for each keystroke, just like on Android and Windows Phone devices.