A two-part adjustable-height insert may be installed in a bore of a sandwich panel, such that the adjustable-height insert may be configured to transfer a load to the sandwich panel. The adjustable-height insert may include a first insert part and a second insert part that may be selectively operatively positioned with respect to each other. The adjustable-height insert may be configured such that an interference fit between the first insert part and the second insert part may be engaged by moving a second flange of the second insert part towards a first flange of the first insert part, which may thereby reduce the overall height of the adjustable-height insert to a selected height. Presently disclosed adjustable-height inserts may be configured for flush installation in a sandwich panel. Methods of installing such adjustable-height inserts and adjusting the height of the same are also disclosed.