No, builder gel should not be sticky after curing. Builder gel is a type of gel used in nail extensions and enhancements. When properly cured under a UV or LED lamp, it should harden and become firm, leaving a smooth and non-sticky surface. If the builder gel remains sticky after curing, it could be due to several reasons:

1. Insufficient curing time: Make sure you are curing the gel for the recommended duration specified by the manufacturer. If the gel is not fully cured, it may remain sticky.

2. Incorrect lamp or wattage: Different builder gels require specific lamp types and wattages for proper curing. Using the wrong lamp or wattage can result in inadequate curing, leading to stickiness.

3. Application thickness: If the gel is applied too thickly, it may not cure properly throughout, resulting in a sticky layer on top. Ensure that you are applying the gel in thin, even layers for optimal curing.

4. Contamination: If the gel comes into contact with oils, lotions, or other products during or after application, it can interfere with the curing process and cause stickiness. Clean the nails thoroughly before applying the gel and avoid touching them with oily or greasy substances.

If you are experiencing persistent stickiness with your builder gel, I recommend consulting with a professional nail technician who can provide further guidance and assistance.