OIM API - Code Snippet to Remove Lookup Value.

public void removeLookupValue(String Key, String Lookup, boolean caseSensitive) {
    final String logp = CN + "::removeLookupValue - ";
    LOGGER.debug(logp + "START");
    Map searchFor = new HashMap();
    searchFor.put("Lookup Definition.Lookup Code Information.Code Key", Key);
    tcLookupOperationsIntf lookupService = null;
    try {
        lookupService = (tcLookupOperationsIntf) Platform.getService(tcLookupOperationsIntf.class);
        tcResultSet results = lookupService.getLookupValues(Lookup, searchFor);
        for (int i = 0; i < results.getRowCount(); i++) {
            results.goToRow(i);
            String key = results.getStringValue("Lookup Definition.Lookup Code Information.Code Key");
            if (!caseSensitive && key.equalsIgnoreCase(Key)) {
                lookupService.removeLookupValue(Lookup, key);
            } else if (caseSensitive && key.equals(Key)) {
                lookupService.removeLookupValue(Lookup, key);
            }
        }
    } catch (Exception e) {
        LOGGER.error(logp + "Exception occurred - " + e.getMessage(), e);
    }

    LOGGER.debug("END");
}

Happy Learning!!!