The 74LCX07 will not clamp the output to \$V_{DD}\$ (the datasheet talks about \$V_{CC}\$), since its particularly targeted at interfacing between different supply voltages. Note that the inputs are 5V tolerant, also with \$V_{DD}\$ = 3.3V.
The datasheet says maximum output voltage is 5.5V (never use the 7V mentioned under Absolute Maximum Ratings), but should have mentioned for what supply voltage, for instance also for 3.3V.
The only characteristic I could find which actually indicates that a higher output voltage is allowed is off state current on page 4, which gives a value of 10\$\mu\$A at \$V_{CC}\$ = 2 to 5.5V and \$V_O\$ = 5.5V.
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That could have been clearer. Especially since it contradicts what it says under Absolute Maximum Ratings: "DC Output Diode Current, for \$V_O > V_{CC}\$: 50mA."
The NXP 74LVC1G07 seems to be a solution.
To level shift up from a 3.3V system to drive 5V CMOS input levels, simply connect the LVC output to a 5V termination voltage through a pullup resistor as shown below. The outputs of these devices are 5V tolerant and provide a simple solution to drive 5V CMOS input levels.
From here.
It also only mentions output clamping current for \$V_O < 0\$, so it won't clamp 5V.