Usually, the first thought people have when hearing of the Lemon Detox is "but won't I be hungry?!".
Generally, people find that they are quite hungry on the first few days, purely due to their mentality. It really is mind over matter, because you are still eating (albeit in liquid form) throughout the cleanse. To curb your hunger, first and foremost, make sure that you are drinking plenty of water. Not only does this help with the cleansing process, but hydration is important. Other options is to drink some herbal tea. Sometimes the feeling of hunger can just be the desire for some variety. If you do choose to have some tea, stick to caffeine free, relaxing teas such as peppermint or chamomile.
If you get to the point that you can't take it anymore, you're about to crack if you don't get something in your stomach, have some freshly squeezed orange juice or vegetable soup broth (salt free). This will hopefully fix your hunger without compromising the detox at all.