Linck resigned from the Arkansas House of Representatives on June 3, 2016 to join the Arkansas Department of Health and Human Services.

In September 2019, Linck announced that he would be stepping down from his post at Arkansas Department of Health and Human Services effective October 4, 2019 to allow him to take a position with Little Rock lobbying firm Mullenix & Associates. Mullenix & Associates are based in Little Rock and assist corporate clients (e.g. Blue Cross & Blue Shield) who serve Medicaid recipients in Arkansas. It was not immediately clear whether Linck's new position with the lobbying firm Mullenix & Associates would represent a conflict of interest in view of his previous position with the state's Department of Human Services. Chief Counsel David Sterling suggested that Linck should avoid all involvement with cases involving clients of Mullenix & Associates during his remaining tenure with the state (through October 4, 2019).

Further, 2015 Arkansas Code § 19-11-709 places restrictions on the employment of former employees and has been cited in this case as well as another concurrent case of another Arkansas DHS official who is leaving for private sector employment. § 19-11-709 prohibits a state employee from acting "as a principal or as an agent for anyone other than the state" in connection with any matter in which the employee participates "personally and substantially." The law also prohibits former employees and partners of former employees from being involved as a "principal or agent for anyone other than the state" regarding any state contract in which that employee provided "decision, approval, disapproval, recommendation, rendering of advice, investigation, or otherwise while an employee." The law also bars former state employees for one year from acting for a private company in connection with contracts that were within the person's "official responsibility" while employed by the state. It is unclear whether

Linck was quoted as promising to "have that discussion"^{[clarification needed]} with his new employers once he begins his tenure with them. Legislators in Arkansas face a two-year cooling off period before becoming lobbyists. Linck left his previous position as a Legislator in June 2016 to work for the Department of Human Services until October 2019, when he became a lobbyist.

On April 18, 2022 WSG Consulting, LLC announced Linck had joined the firm as a partner. WSG was founded by former Speaker of the House Robbie Wills and also includes former Speaker Bill Stovall, Dana Wills, C.P.A. and former legislator Rick Green.