I interpret 'text speak' as either of two things - The way you write abbreviations when texting someone on your mobile phone, for example c u l8tr = see you later Or when you are using Skype and instead of speaking face to face with the person, you have a conversation by text typing.

Text speak refers to ways people abbreviate words when sending text messages to save space and time. Ex. you => u before => b4 late => l8 your => ur